Probing for electrical inclusions with complex spherical waves

@inproceedings{Ide2006ProbingFE,
title={Probing for electrical inclusions with complex spherical waves},
author={Takanori Ide and Hiroshi Isozaki and Susumu Nakata and S. Siltanen},
year={2006}
}

Let a physical body Ω in R2 or R3 be given. Assume that the electric conductivity distribution inside Ω consists of conductive inclusions in a known smooth background. Further, assume that a subset Γ ⊂ ∂Ω is available for boundary measurements. It is proved using hyperbolic geometry that certain information about the location of the inclusions can be exactly recovered from static electric measurements on Γ. More precisely: given a ball B with center outside the convex hull of Ω and satisfying… CONTINUE READING